Dynamics of Markovian particles

Markovian particles are little particles that follow some rules to move around. They move in a way that looks kind of like a dance! Each particle moves in a random direction, but each particle is connected to the other particles and changes its direction based on how the other particles move. They all kind of move around together, like if one turns left, the ones near it will turn left too. It's like a never-ending game of follow-the-leader! This kind of movement is called the dynamics of Markovian particles.